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Finding the Third Proportional to 193,140 and 310,230

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Solution

The third proportional to 193,140 and 310,230 is: 498,305.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,140 : 310,230 = 310,230 : x
  2. Step 2: Convert to fraction form
    193,140/310,230 = 310,230/x
  3. Step 3: Cross multiply
    193,140x = 310,230 × 310,230
  4. Step 4: Simplify right side
    193,140x = 96,242,652,900
  5. Step 5: Solve for x
    x = 96,242,652,900/193,140
  6. Step 6: Final answer
    x = 498,305.13

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.